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Finding the Fourth Proportional to 413.23, 570.24 and 247.35

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Solution

The fourth proportional to 413.23, 570.24 and 247.35 is: 341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.23 : 570.24 = 247.35 : x
  2. Step 2: Convert to fraction form
    413.23/570.24 = 247.35/x
  3. Step 3: Cross multiply
    413.23x = 570.24 × 247.35
  4. Step 4: Simplify right side
    413.23x = 141,048.86
  5. Step 5: Solve for x
    x = 141,048.86/413.23
  6. Step 6: Final answer
    x = 341.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.